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Finding the Third Proportional to 204,547 and 437,523

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Solution

The third proportional to 204,547 and 437,523 is: 935,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,547 : 437,523 = 437,523 : x
  2. Step 2: Convert to fraction form
    204,547/437,523 = 437,523/x
  3. Step 3: Cross multiply
    204,547x = 437,523 × 437,523
  4. Step 4: Simplify right side
    204,547x = 191,426,375,529
  5. Step 5: Solve for x
    x = 191,426,375,529/204,547
  6. Step 6: Final answer
    x = 935,855.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.